		Search-engine friendly clone of the ACL2 documentation.

Oprewrite

Vl-plainarg-oprewrite

Rewrite operators throughout a vl-plainarg-p

Signature
(vl-plainarg-oprewrite x warnings) → (mv warnings new-x)
Arguments: x — Guard (vl-plainarg-p x).; warnings — Guard (vl-warninglist-p warnings).
Returns: warnings — Type (vl-warninglist-p warnings).; new-x — Type (vl-plainarg-p new-x).

Definitions and Theorems

Function: vl-plainarg-oprewrite

(defun vl-plainarg-oprewrite (x warnings)
  (declare (xargs :guard (and (vl-plainarg-p x)
                              (vl-warninglist-p warnings))))
  (let ((__function__ 'vl-plainarg-oprewrite))
    (declare (ignorable __function__))
    (b* ((x (vl-plainarg-fix x)))
      (b* (((vl-plainarg x) x)
           ((unless x.expr) (mv (ok) x))
           ((mv warnings expr-prime)
            (vl-expr-oprewrite x.expr warnings)))
        (mv warnings
            (change-vl-plainarg x
                                :expr expr-prime))))))

Theorem: vl-warninglist-p-of-vl-plainarg-oprewrite.warnings

(defthm vl-warninglist-p-of-vl-plainarg-oprewrite.warnings
  (b* (((mv ?warnings ?new-x)
        (vl-plainarg-oprewrite x warnings)))
    (vl-warninglist-p warnings))
  :rule-classes :rewrite)

Theorem: vl-plainarg-p-of-vl-plainarg-oprewrite.new-x

(defthm vl-plainarg-p-of-vl-plainarg-oprewrite.new-x
  (b* (((mv ?warnings ?new-x)
        (vl-plainarg-oprewrite x warnings)))
    (vl-plainarg-p new-x))
  :rule-classes :rewrite)

Theorem: vl-plainarg-oprewrite-of-vl-plainarg-fix-x

(defthm vl-plainarg-oprewrite-of-vl-plainarg-fix-x
  (equal (vl-plainarg-oprewrite (vl-plainarg-fix x)
                                warnings)
         (vl-plainarg-oprewrite x warnings)))

Theorem: vl-plainarg-oprewrite-vl-plainarg-equiv-congruence-on-x

(defthm vl-plainarg-oprewrite-vl-plainarg-equiv-congruence-on-x
  (implies (vl-plainarg-equiv x x-equiv)
           (equal (vl-plainarg-oprewrite x warnings)
                  (vl-plainarg-oprewrite x-equiv warnings)))
  :rule-classes :congruence)

Theorem: vl-plainarg-oprewrite-of-vl-warninglist-fix-warnings

(defthm vl-plainarg-oprewrite-of-vl-warninglist-fix-warnings
  (equal (vl-plainarg-oprewrite x (vl-warninglist-fix warnings))
         (vl-plainarg-oprewrite x warnings)))

Theorem: vl-plainarg-oprewrite-vl-warninglist-equiv-congruence-on-warnings

(defthm
  vl-plainarg-oprewrite-vl-warninglist-equiv-congruence-on-warnings
  (implies (vl-warninglist-equiv warnings warnings-equiv)
           (equal (vl-plainarg-oprewrite x warnings)
                  (vl-plainarg-oprewrite x warnings-equiv)))
  :rule-classes :congruence)